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" 1."[[x,a,x+a],[y,b,y+b],[z,c,z+c]]=0...

" 1."[[x,a,x+a],[y,b,y+b],[z,c,z+c]]=0

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|[x,a,x+a],[y,b,y+b],[z,c,z+c]|=0

Without expanding the determinant prove the following. |[x,a,x+a],[y,b,y+b],[z,c,z+c]|=0

Show without expanding at any stage that: [x,a,x+a],[y,b,y+b],[z,c,z+c]|=0

|(x,a,x+a),(y,b,y+b),(z,c,z+c)| = 0

Using the property of determinants and without expanding {:[( x,a,x+a),( y,b,y+b),(z,c,z+c)]:} =0

Using the property of determinants and without expanding {:[( x,a,x+a),( y,b,y+b),(z,c,z+c)]:} =0

Using the property of determinants and without expanding {:|( x,a,x+a),( y,b,y+b),(z,c,z+c)|:} =0

Using the property of determinants and without expanding {:|( x,a,x+a),( y,b,y+b),(z,c,z+c)|:} =0

Without expanding show that |{:(x,a,x+a),(y,b,y+b),(z,c,z+c):}|=0

prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0